4-Digit by 2-Digit Long Division with Grid Assistance and NO ... - Free Printable

The task involves solving long division problems using a grid to organize the calculations. Below, I will solve each problem step by step.

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Problem 1: \( 17 \div 8296 \)

#### Step-by-Step Solution:
1. Divide: How many times does 17 go into 82?
- \( 17 \times 4 = 68 \) (closest without exceeding 82)
- Write 4 above the line.

2. Multiply and Subtract:
- \( 82 - 68 = 14 \)

3. Bring Down: Bring down the next digit (9). Now work with 149.

4. Divide: How many times does 17 go into 149?
- \( 17 \times 8 = 136 \) (closest without exceeding 149)
- Write 8 above the line.

5. Multiply and Subtract:
- \( 149 - 136 = 13 \)

6. Bring Down: Bring down the next digit (6). Now work with 136.

7. Divide: How many times does 17 go into 136?
- \( 17 \times 8 = 136 \)
- Write 8 above the line.

8. Multiply and Subtract:
- \( 136 - 136 = 0 \)

#### Final Answer:
\[ 8296 \div 17 = 488 \]

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Problem 2: \( 34 \div 4590 \)

#### Step-by-Step Solution:
1. Divide: How many times does 34 go into 45?
- \( 34 \times 1 = 34 \) (closest without exceeding 45)
- Write 1 above the line.

2. Multiply and Subtract:
- \( 45 - 34 = 11 \)

3. Bring Down: Bring down the next digit (9). Now work with 119.

4. Divide: How many times does 34 go into 119?
- \( 34 \times 3 = 102 \) (closest without exceeding 119)
- Write 3 above the line.

5. Multiply and Subtract:
- \( 119 - 102 = 17 \)

6. Bring Down: Bring down the next digit (0). Now work with 170.

7. Divide: How many times does 34 go into 170?
- \( 34 \times 5 = 170 \)
- Write 5 above the line.

8. Multiply and Subtract:
- \( 170 - 170 = 0 \)

#### Final Answer:
\[ 4590 \div 34 = 135 \]

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Problem 3: \( 26 \div 4550 \)

#### Step-by-Step Solution:
1. Divide: How many times does 26 go into 45?
- \( 26 \times 1 = 26 \) (closest without exceeding 45)
- Write 1 above the line.

2. Multiply and Subtract:
- \( 45 - 26 = 19 \)

3. Bring Down: Bring down the next digit (5). Now work with 195.

4. Divide: How many times does 26 go into 195?
- \( 26 \times 7 = 182 \) (closest without exceeding 195)
- Write 7 above the line.

5. Multiply and Subtract:
- \( 195 - 182 = 13 \)

6. Bring Down: Bring down the next digit (0). Now work with 130.

7. Divide: How many times does 26 go into 130?
- \( 26 \times 5 = 130 \)
- Write 5 above the line.

8. Multiply and Subtract:
- \( 130 - 130 = 0 \)

#### Final Answer:
\[ 4550 \div 26 = 175 \]

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Problem 4: \( 38 \div 8132 \)

#### Step-by-Step Solution:
1. Divide: How many times does 38 go into 81?
- \( 38 \times 2 = 76 \) (closest without exceeding 81)
- Write 2 above the line.

2. Multiply and Subtract:
- \( 81 - 76 = 5 \)

3. Bring Down: Bring down the next digit (3). Now work with 53.

4. Divide: How many times does 38 go into 53?
- \( 38 \times 1 = 38 \) (closest without exceeding 53)
- Write 1 above the line.

5. Multiply and Subtract:
- \( 53 - 38 = 15 \)

6. Bring Down: Bring down the next digit (2). Now work with 152.

7. Divide: How many times does 38 go into 152?
- \( 38 \times 4 = 152 \)
- Write 4 above the line.

8. Multiply and Subtract:
- \( 152 - 152 = 0 \)

#### Final Answer:
\[ 8132 \div 38 = 214 \]

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Problem 5: \( 15 \div 5265 \)

#### Step-by-Step Solution:
1. Divide: How many times does 15 go into 52?
- \( 15 \times 3 = 45 \) (closest without exceeding 52)
- Write 3 above the line.

2. Multiply and Subtract:
- \( 52 - 45 = 7 \)

3. Bring Down: Bring down the next digit (6). Now work with 76.

4. Divide: How many times does 15 go into 76?
- \( 15 \times 5 = 75 \) (closest without exceeding 76)
- Write 5 above the line.

5. Multiply and Subtract:
- \( 76 - 75 = 1 \)

6. Bring Down: Bring down the next digit (5). Now work with 15.

7. Divide: How many times does 15 go into 15?
- \( 15 \times 1 = 15 \)
- Write 1 above the line.

8. Multiply and Subtract:
- \( 15 - 15 = 0 \)

#### Final Answer:
\[ 5265 \div 15 = 351 \]

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Problem 6: \( 24 \div 8760 \)

#### Step-by-Step Solution:
1. Divide: How many times does 24 go into 87?
- \( 24 \times 3 = 72 \) (closest without exceeding 87)
- Write 3 above the line.

2. Multiply and Subtract:
- \( 87 - 72 = 15 \)

3. Bring Down: Bring down the next digit (6). Now work with 156.

4. Divide: How many times does 24 go into 156?
- \( 24 \times 6 = 144 \) (closest without exceeding 156)
- Write 6 above the line.

5. Multiply and Subtract:
- \( 156 - 144 = 12 \)

6. Bring Down: Bring down the next digit (0). Now work with 120.

7. Divide: How many times does 24 go into 120?
- \( 24 \times 5 = 120 \)
- Write 5 above the line.

8. Multiply and Subtract:
- \( 120 - 120 = 0 \)

#### Final Answer:
\[ 8760 \div 24 = 365 \]

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Problem 7: \( 33 \div 5643 \)

#### Step-by-Step Solution:
1. Divide: How many times does 33 go into 56?
- \( 33 \times 1 = 33 \) (closest without exceeding 56)
- Write 1 above the line.

2. Multiply and Subtract:
- \( 56 - 33 = 23 \)

3. Bring Down: Bring down the next digit (4). Now work with 234.

4. Divide: How many times does 33 go into 234?
- \( 33 \times 7 = 231 \) (closest without exceeding 234)
- Write 7 above the line.

5. Multiply and Subtract:
- \( 234 - 231 = 3 \)

6. Bring Down: Bring down the next digit (3). Now work with 33.

7. Divide: How many times does 33 go into 33?
- \( 33 \times 1 = 33 \)
- Write 1 above the line.

8. Multiply and Subtract:
- \( 33 - 33 = 0 \)

#### Final Answer:
\[ 5643 \div 33 = 171 \]

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Problem 8: \( 37 \div 4403 \)

#### Step-by-Step Solution:
1. Divide: How many times does 37 go into 44?
- \( 37 \times 1 = 37 \) (closest without exceeding 44)
- Write 1 above the line.

2. Multiply and Subtract:
- \( 44 - 37 = 7 \)

3. Bring Down: Bring down the next digit (0). Now work with 70.

4. Divide: How many times does 37 go into 70?
- \( 37 \times 1 = 37 \) (closest without exceeding 70)
- Write 1 above the line.

5. Multiply and Subtract:
- \( 70 - 37 = 33 \)

6. Bring Down: Bring down the next digit (3). Now work with 333.

7. Divide: How many times does 37 go into 333?
- \( 37 \times 9 = 333 \)
- Write 9 above the line.

8. Multiply and Subtract:
- \( 333 - 333 = 0 \)

#### Final Answer:
\[ 4403 \div 37 = 119 \]

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Problem 9: \( 48 \div 2400 \)

#### Step-by-Step Solution:
1. Divide: How many times does 48 go into 24?
- Since 48 is larger than 24, write 0 above the line.

2. Bring Down: Bring down the next digit (0). Now work with 240.

3. Divide: How many times does 48 go into 240?
- \( 48 \times 5 = 240 \)
- Write 5 above the line.

4. Multiply and Subtract:
- \( 240 - 240 = 0 \)

5. Bring Down: Bring down the next digit (0). Now work with 0.

6. Divide: How many times does 48 go into 0?
- Write 0 above the line.

#### Final Answer:
\[ 2400 \div 48 = 50 \]

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Final Answers:

\[
\boxed{
\begin{aligned}
&1. \, 8296 \div 17 = 488 \\
&2. \, 4590 \div 34 = 135 \\
&3. \, 4550 \div 26 = 175 \\
&4. \, 8132 \div 38 = 214 \\
&5. \, 5265 \div 15 = 351 \\
&6. \, 8760 \div 24 = 365 \\
&7. \, 5643 \div 33 = 171 \\
&8. \, 4403 \div 37 = 119 \\
&9. \, 2400 \div 48 = 50 \\
\end{aligned}
}
\]